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DERIVED SUBGROUPS OF FIXED POINTS IN PROFINITE GROUPS

Published online by Cambridge University Press:  02 August 2011

CRISTINA ACCIARRI,
ALINE DE SOUZA LIMA and
PAVEL SHUMYATSKY
CRISTINA ACCIARRI
Affiliation:
Via Francesco Crispi, n.81 San Benedetto del Tronto (AP)Italy e-mail: acciarricristina@yahoo.it
ALINE DE SOUZA LIMA
Affiliation:
Department of Mathematics and Statistics, Federal University of Goiás, Goiânia-GO, 74001-970, Brazil e-mail: alinelima@mat.unb.br
PAVEL SHUMYATSKY
Affiliation:
Department of Mathematics, University of Brasilia, Brasilia-DF 70910-900, Brazil e-mail: pavel@unb.br
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Abstract

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The main result of this paper is the following theorem. Let q be a prime and A be an elementary abelian group of order q3. Suppose that A acts as a coprime group of automorphisms on a profinite group G in such a manner that CG(a)′ is periodic for each a ∈ A#. Then G′ is locally finite.

Keywords

20E1820D4520F40

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 54 , Issue 1 , January 2012, pp. 97 - 105
Copyright
Copyright © Glasgow Mathematical Journal Trust 2011

References

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